Convergence and supercloseness of a finite element method for a two-parameter singularly perturbed problem on Shishkin triangular mesh

Yanhui Lv and Jin Zhang

Applied Mathematics and Computation, 2022, vol. 416, issue C

Abstract: We consider a singularly perturbed elliptic problem with two parameters in two dimensions. Using linear finite element method on a Shishkin triangular mesh, we prove the uniform convergence and supercloseness in an energy norm. Some integral inequalities play an important role in our analysis. Numerical tests verify our theoretical results.

Keywords: Singular perturbation; Uniform convergence; Finite element method; Shishkin triangular mesh; Supercloseness; Two parameters (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:416:y:2022:i:c:s0096300321008353

DOI: 10.1016/j.amc.2021.126753

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